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The paper introduces a GPRS-like cellular network simulator, where mobile terminals move, initiate and terminate their communications. This tool aims at evaluating the major QoS parameters in realistic propagation conditions and for different resource allocation policies. Our objectives in developing such a simulator are to use it first to compare some existing channel management methods and second to validate a new optimal scheme of allocating the physical channels to mobile users supporting multimedia applications. Our discrete-event simulation tool takes into account both the time variation of the system and its spatial dimension relating to user movement and its effect on the signal propagation and the radio link. The system considered is a GPRS-like (i.e. TDMA) one, i.e. voice and data are integrated over a time division multiple access wireless cellular network. Our scenario considers three traffic classes: best-effort, medium and premium.